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Finding the Fourth Proportional to 645.90, 962.04 and 642.96

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Solution

The fourth proportional to 645.90, 962.04 and 642.96 is: 957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.90 : 962.04 = 642.96 : x
  2. Step 2: Convert to fraction form
    645.90/962.04 = 642.96/x
  3. Step 3: Cross multiply
    645.90x = 962.04 × 642.96
  4. Step 4: Simplify right side
    645.90x = 618,553.24
  5. Step 5: Solve for x
    x = 618,553.24/645.90
  6. Step 6: Final answer
    x = 957.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.